Convergent Perturbation Series for the Anharmonic Oscillator

Apr, 1979
3 pages
Published in:
  • Phys.Lett.B 85 (1979) 421-423
  • Published: 1979
Report number:
  • ICTP/78-79/17

Citations per year

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Abstract: (Elsevier)
We derive a new perturbation expansion for the energy levels of the anharmonic oscillator that - contrary to all previous expansions - is convergent. The convergence of the expansion persists both in the weak and strong coupling limits. Three terms in the series give the ground state energy to about one per cent.
  • QUANTUM MECHANICS
  • MODEL: OSCILLATOR
  • PERTURBATION THEORY: HIGHER-ORDER
  • ENERGY LEVELS
  • MODEL: STRONG COUPLING